Speaker

:

Dr. Jayadev Athreya

Subject Area

:

Mathematics

Venue

:

Lecture Hall - III, Dept of Mathematics

Time

:

11.00 am

Date  

:

July 16,2008 (Wednesday)

Title

:

Lattice Point Asymptotics and Volume Growth on Teichmuller space

We apply some of the ideas of the Ph.D. Thesis of G. A. Margulis to Teichmuller space. Let x be a point in Teichmuller space, and let B_R(x) be the ball of radius R centered at x (with distances measured in the Teichmuller metric). We obtain asymptotic formulas as R tends to infinity for the volume of B_R(x), and also for for the cardinality of the intersection of B_R(x) with an orbit of the mapping class group.